Cellular Biophysics And Modeling

What every neuroscientist should know about the mathematical modeling of excitable cells, presented at an introductory level.

Volume I of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are thematically organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

This book contains a collection of original research articles and review articles that describe novel mathematical modeling techniques and the application of those techniques to models of cell motility in a variety of contexts. The aim is to highlight some of the recent mathematical work geared at understanding the coordination of intracellular processes involved in the movement of cells. This collection will benefit researchers interested in cell motility as well graduate students taking a topics course in this area.

Physical Biology of the Cell is a textbook for a first course in physical biology or biophysics for undergraduate or graduate students. It maps the huge and complex landscape of cell and molecular biology from the distinct perspective of physical biology. As a key organizing principle, the proximity of topics is based on the physical concepts that

This book covers a wide scope of biological approaches to such biological phenomena as cell division, motility, collective cell behavior, multicellular structures, morphogenesis, and tumor development. Over the past two decades, biologists have generated large sets of experimental data and discovered a lot of facts that need explanation. This biological boom attracts physicists who believe they can help to develop a theoretical framework in biology and explain complete biological phenomena using basic principles. This is the first book to present recent advances in biophysical studies of the different aspects of cell life. This book presents recent advances in biophysical studies of living cells and gives the impression that a combination of quantitative live cell observations, detailed biochemical and biophysical data, and mathematical modeling are capable to answer many important biological questions and to achieve a more complete understanding of such complex phenomena.

All living matter is comprised of cells, small compartments isolated from the environment by a cell membrane and filled with concentrated solutions of various organic and inorganic compounds. Some organisms are single-cell, where all life functions are performed by that cell. Others have groups of cells, or entire organs, specializing in one particular function. The survival of the entire organism depends on all of its cells and organs fulfilling their roles. While the cells are studied by different sciences, they are seen differently by biologists, chemists, or physicists. Biologists concentrate their attention on cell structure and function. What does the cell consist of? Where are its organelles? What function does each organelle fulfil? From a chemists' point of view, a cell is a complex chemical reaction chamber where various molecules are synthesized or degraded. The main question is how these, sometimes very complicated chains of reactions are controlled. Finally, from a physics standpoint, one of the main questions is the physical movement of all these molecules between organelles within the cell, as well as their exchange with the extracellular medium. The aim of this book is to look into the basic physical phenomena occurring in cells. These physical transport processes facilitate chemical reactions in the cell and that in turn leads to the biological functions necessary for the cell to satisfy its role in the mother organism. Ultimately, the goals of every cell are to stay alive and to fulfil its function as a part of a larger organ or organism. This book is an inventory of physical transport processes occurring in cells while the second volume will be a closer look at how complex biological and physiological cell phenomena result from these very basic physical processes.

This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology. This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of these low copy numbers. This book presents stochastic models, which are necessary to account for small particle numbers and extrinsic noise sources. The complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to adopt the framework of stochastic reaction-diffusion models, while in the latter, one can describe the processes by adopting the framework of Markov jump processes and stochastic differential equations. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology will appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology.

Molecular and Cellular Biophysics provides advanced undergraduate and graduate students with a foundation in the basic concepts of biophysics. Students who have taken physical chemistry and calculus courses will find this book an accessible and valuable aid in learning how these concepts can be used in biological research. The text provides a rigorous treatment of the fundamental theories in biophysics and illustrates their application with examples. Conformational transitions of proteins are studied first using thermodynamics, and subsequently with kinetics. Allosteric theory is developed as the synthesis of conformational transitions and association reactions. Basic ideas of thermodynamics and kinetics are applied to topics such as protein folding, enzyme catalysis and ion channel permeation. These concepts are then used as the building blocks in a treatment of membrane excitability. Through these examples, students will gain an understanding of the general importance and broad applicability of biophysical principles to biological problems.